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Finding the Third Proportional to 3,673,912,256 and 5,673,312,176

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Solution

The third proportional to 3,673,912,256 and 5,673,312,176 is: 8,760,816,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673,912,256 : 5,673,312,176 = 5,673,312,176 : x
  2. Step 2: Convert to fraction form
    3,673,912,256/5,673,312,176 = 5,673,312,176/x
  3. Step 3: Cross multiply
    3,673,912,256x = 5,673,312,176 × 5,673,312,176
  4. Step 4: Simplify right side
    3,673,912,256x = 32,186,471,046,349,856,768
  5. Step 5: Solve for x
    x = 32,186,471,046,349,856,768/3,673,912,256
  6. Step 6: Final answer
    x = 8,760,816,482.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.